Answer:
Step-by-step explanation:
1.
(a) n ≤ 21
(b) n ≥ 5
(c) n > 3/5
2.
(d) n < 14
(e) n ≥ 14
The formula of nth term is = 10 - 3n
What is AP?
- A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
- The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
- If the AP contains m phrases, then denotes the final term, which is given by:
- The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.
Acc to our question-
- For the nth term in an algebraic series
- U(n) = a + (n - 1)d
- the number of terms is n.
- The first term is a.
- d is the typical difference
- From the preceding sequence
- a = 7
- d = 4 - 7 = - 3
- The nth term's formula is
- U(n) = 7 + (n - 1)-3
- = 7 - 3n + 3
- The ultimate solution is
- = 10 - 3n
Hence,The formula of nth term is = 10 - 3n
learn more about AP click here:
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12 out of 20
Your answer is the question
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
Answer:
about 20
Step-by-step explanation:
The numbers round to 600/30 = 20, which is a reasonable estimate.
You can refine this by doing the next step of long division:
29×20 = 580
Subtracting this from 591.3 give 11.3, so the fraction is ...
11.3/29 ≈ 10/30 = 1/3
A better estimate is 20 1/3.
_____
A calculator tells you the quotient is about 20.3897.
